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Finding the Third Proportional to 23,262 and 33,225.75

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Solution

The third proportional to 23,262 and 33,225.75 is: 47,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,262 : 33,225.75 = 33,225.75 : x
  2. Step 2: Convert to fraction form
    23,262/33,225.75 = 33,225.75/x
  3. Step 3: Cross multiply
    23,262x = 33,225.75 × 33,225.75
  4. Step 4: Simplify right side
    23,262x = 1,103,950,463.06
  5. Step 5: Solve for x
    x = 1,103,950,463.06/23,262
  6. Step 6: Final answer
    x = 47,457.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.